remark 7.144 What is developed here, and what is not

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:4926 · p. 263

remark -- no derivation owed by its kind

Rests on

depends_on definition 7.142 Box-counting dimension ¶
- depends_on definition 7.140 Hausdorff measure ¶
  - depends_on axiom 7.1 Completeness of $\R$ ¶
  - depends_on definition 7.138 Set of measure zero ¶
    - depends_on definition 7.125 Multiple integral ¶
      - depends_on axiom 7.1 Completeness of $\R$ ¶ ↺
      - depends_on definition 7.39 Darboux sums and the definite integral ¶
    - depends_on definition 3.65 Countable set ¶
      - depends_on axiom 3.33 Peano axioms ¶
      - depends_on definition 3.62 Equipotence ¶
  - depends_on definition 6.24 Metric ¶
    - depends_on definition 3.43 Map ¶
      - depends_on definition 3.24 Quantifiers ¶
      - depends_on definition 3.28 Set ¶
    - depends_on definition 3.38 Ordered pair and Cartesian product ¶
- depends_on definition 6.9 Compact set ¶
  - depends_on definition 6.5 Open cover ¶
    - depends_on definition 6.2 Open set ¶
      - depends_on definition 6.1 Topological space ¶
    - depends_on equation 3.51 eq:set-indexed ¶
depends_on definition 7.140 Hausdorff measure ¶ ↺
depends_on definition 7.138 Set of measure zero ¶ ↺

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type	direction	node	provenance	where
`depends_on`	→	Box-counting dimension	declared	parts/02-mathematical-methods/05-real-analysis.tex:4939
`depends_on`	→	Hausdorff measure	declared	parts/02-mathematical-methods/05-real-analysis.tex:4939
`depends_on`	→	Set of measure zero	declared	parts/02-mathematical-methods/05-real-analysis.tex:4939